49983264000 has 1152 divisors, whose sum is σ = 202491394560. Its totient is φ = 12091392000.

The previous prime is 49983263989. The next prime is 49983264011. The reversal of 49983264000 is 46238994.

It is an interprime number because it is at equal distance from previous prime (49983263989) and next prime (49983264011).

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 602207959 + ... + 602208041.

It is an arithmetic number, because the mean of its divisors is an integer number (175773780).

Almost surely, 2^49983264000 is an apocalyptic number.

49983264000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 49983264000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101245697280).

49983264000 is an abundant number, since it is smaller than the sum of its proper divisors (152508130560).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

49983264000 is a wasteful number, since it uses less digits than its factorization.

49983264000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 181 (or 151 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The spelling of 49983264000 in words is "forty-nine billion, nine hundred eighty-three million, two hundred sixty-four thousand".